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Finding the Fourth Proportional to 10,469.18, 15,683.72 and 10,117.44

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Solution

The fourth proportional to 10,469.18, 15,683.72 and 10,117.44 is: 15,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.18 : 15,683.72 = 10,117.44 : x
  2. Step 2: Convert to fraction form
    10,469.18/15,683.72 = 10,117.44/x
  3. Step 3: Cross multiply
    10,469.18x = 15,683.72 × 10,117.44
  4. Step 4: Simplify right side
    10,469.18x = 158,679,096.08
  5. Step 5: Solve for x
    x = 158,679,096.08/10,469.18
  6. Step 6: Final answer
    x = 15,156.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.